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Finding the Fourth Proportional to 4,054.86, 6,082.05 and 1,133.05

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Solution

The fourth proportional to 4,054.86, 6,082.05 and 1,133.05 is: 1,699.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,054.86 : 6,082.05 = 1,133.05 : x
  2. Step 2: Convert to fraction form
    4,054.86/6,082.05 = 1,133.05/x
  3. Step 3: Cross multiply
    4,054.86x = 6,082.05 × 1,133.05
  4. Step 4: Simplify right side
    4,054.86x = 6,891,266.75
  5. Step 5: Solve for x
    x = 6,891,266.75/4,054.86
  6. Step 6: Final answer
    x = 1,699.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.